Module Multiple Regression Analysis (Points and Predictor Grids)
Linear regression analysis of point attributes with multiple grids. Details of the regression/correlation analysis will be saved to a table. The regression function is used to create a new grid with regression based values. The multiple regression analysis uses a forward selection procedure.
Reference:
- Bahrenberg, G., Giese, E., Nipper, J. (1992): 'Statistische Methoden in der Geographie 2 - Multivariate Statistik', Stuttgart, 415p.
- Author: O.Conrad (c) 2004
- Specification: grid
- Menu: Spatial and Geostatistics|Regression
Parameters
| Name | Type | Identifier | Description | Constraints | |
|---|---|---|---|---|---|
| Input | Predictors | Grid list (input) | PREDICTORS | - | - |
| Points | Shapes (input) | POINTS | - | - | |
| Output | Details: Coefficients (*) | Table (optional output) | INFO_COEFF | - | - |
| Details: Model (*) | Table (optional output) | INFO_MODEL | - | - | |
| Details: Steps (*) | Table (optional output) | INFO_STEPS | - | - | |
| Residuals (*) | Shapes (optional output) | RESIDUALS | - | - | |
| Regression | Grid (output) | REGRESSION | regression model applied to predictor grids | - | |
| Regression with Residual Correction (*) | Grid (optional output) | REGRESCORR | regression model applied to predictor grids with interpolated residuals added | - | |
| Options | Dependent Variable | Table field | ATTRIBUTE | - | - |
| Grid Interpolation | Choice | INTERPOL | - | Available Choices: [0] Nearest Neighbor [1] Bilinear Interpolation [2] Inverse Distance Interpolation [3] Bicubic Spline Interpolation [4] B-Spline Interpolation Default: 4 | |
| Include X Coordinate | Boolean | COORD_X | - | Default: 0 | |
| Include Y Coordinate | Boolean | COORD_Y | - | Default: 0 | |
| Intercept | Boolean | INTERCEPT | - | Default: 1 | |
| Method | Choice | METHOD | - | Available Choices: [0] include all [1] forward [2] backward [3] stepwise Default: 3 | |
| Significance Level | Floating point | P_VALUE | Significance level (aka p-value) as threshold for automated predictor selection, given as percentage | Minimum: 0.000000 Maximum: 100.000000 Default: 5.000000 | |
| Cross Validation | Choice | CROSSVAL | - | Available Choices: [0] none [1] leave one out [2] 2-fold [3] k-fold Default: 0 | |
| Cross Validation Subsamples | Integer | CROSSVAL_K | number of subsamples for k-fold cross validation | Minimum: 2 Default: 10 | |
| Residual Interpolation | Choice | RESIDUAL_COR | - | Available Choices: [0] Multleve B-Spline Interpolation [1] Inverse Distance Weighted Default: 0 | |
| (*) optional | |||||
Command-line
Usage: saga_cmd statistics_regression 1 [-PREDICTORS <str>] [-POINTS <str>] [-ATTRIBUTE <str>] [-INFO_COEFF <str>] [-INFO_MODEL <str>] [-INFO_STEPS <str>] [-RESIDUALS <str>] [-REGRESSION <str>] [-REGRESCORR <str>] [-INTERPOL <str>] [-COORD_X <str>] [-COORD_Y <str>] [-INTERCEPT <str>] [-METHOD <str>] [-P_VALUE <str>] [-CROSSVAL <str>] [-CROSSVAL_K <num>] [-RESIDUAL_COR <str>] -PREDICTORS:<str> Predictors Grid list (input) -POINTS:<str> Points Shapes (input) -ATTRIBUTE:<str> Dependent Variable Table field -INFO_COEFF:<str> Details: Coefficients Table (optional output) -INFO_MODEL:<str> Details: Model Table (optional output) -INFO_STEPS:<str> Details: Steps Table (optional output) -RESIDUALS:<str> Residuals Shapes (optional output) -REGRESSION:<str> Regression Grid (output) -REGRESCORR:<str> Regression with Residual Correction Grid (optional output) -INTERPOL:<str> Grid Interpolation Choice Available Choices: [0] Nearest Neighbor [1] Bilinear Interpolation [2] Inverse Distance Interpolation [3] Bicubic Spline Interpolation [4] B-Spline Interpolation Default: 4 -COORD_X:<str> Include X Coordinate Boolean Default: 0 -COORD_Y:<str> Include Y Coordinate Boolean Default: 0 -INTERCEPT:<str> Intercept Boolean Default: 1 -METHOD:<str> Method Choice Available Choices: [0] include all [1] forward [2] backward [3] stepwise Default: 3 -P_VALUE:<str> Significance Level Floating point Minimum: 0.000000 Maximum: 100.000000 Default: 5.000000 -CROSSVAL:<str> Cross Validation Choice Available Choices: [0] none [1] leave one out [2] 2-fold [3] k-fold Default: 0 -CROSSVAL_K:<num> Cross Validation Subsamples Integer Minimum: 2 Default: 10 -RESIDUAL_COR:<str> Residual Interpolation Choice Available Choices: [0] Multleve B-Spline Interpolation [1] Inverse Distance Weighted Default: 0